492190117816320 has 4608 divisors, whose sum is σ = 2318679878860800. Its totient is φ = 93521549721600.

The previous prime is 492190117816307. The next prime is 492190117816363. The reversal of 492190117816320 is 23618711091294.

492190117816320 is a `hidden beast` number, since 4 + 9 + 2 + 190 + 117 + 8 + 16 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×492190117816320² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 450311177694 + ... + 450311178786.

It is an arithmetic number, because the mean of its divisors is an integer number (503185737600).

Almost surely, 2^{492190117816320} is an apocalyptic number.

492190117816320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492190117816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159339939430400).

492190117816320 is an abundant number, since it is smaller than the sum of its proper divisors (1826489761044480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

492190117816320 is a wasteful number, since it uses less digits than its factorization.

492190117816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 492190117816320 in words is "four hundred ninety-two trillion, one hundred ninety billion, one hundred seventeen million, eight hundred sixteen thousand, three hundred twenty".